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SVP
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Find the standard deviation of ten-member set Y. (1) the set [#permalink]
12 Jul 2004, 00:53
Find the standard deviation of ten-member set Y.
(1) the set is an arithmetic progression
(2) the first member is 10; the second is 12
Last edited by stolyar on 12 Jul 2004, 03:11, edited 1 time in total.
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Senior Manager
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Assuming you ment an arithmetic progression,
With both statements together you can have a clue about the dispersal.
So i say... C.
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Manager
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ans is C ...
a) sayz arithmetic progression ... that could be from any nuber as the beginning number...
B) first =10 and the next 12 we don't know what could be the next and the next untill the last...
combining both we have the 10 -28 as the set and we can have the ans ...
hope that helps !
Have fun
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Director
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I guess question asks to find SD.
Numbers are: 10, 12, 14, 16, 18, 20, 22, 24, 26, 28
Mean: 19
SD^2 = 2(81 + 49 + 25 + 9 + 1)/10 = 33
SD roughly 5.7
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Senior Manager
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jpv, on DS questions you are not required to give a final answer.
Don't waste your time.
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Director
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stolyar wrote: Find the standard deviation of ten-member set Y.
(1) the set is an arithmetic progression (2) the first member is 10; the second is 12
C
1 & 2 together defines the sample space
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Director
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Stolyar: What is the Official Answer? I got C. Combining Statement 1 and statement 2, you'll have all the params needed to find the SD
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Senior Manager
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stolyar wrote: Find the standard deviation of ten-member set Y.
(1) the set is an arithmetic progression (2) the first member is 10; the second is 12
What's a definition of arithmetic progression?
can it be that the numbers are simply n+2, producing:
10, 12, 14, 16, etc.
or, would n*1.2 also qualify, producing:
10, 12, 14.4, etc..
the answer to the second question determines the answer here
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Senior Manager
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In my opnion the answer is E.
I have a question, perhaps, it may sound crazy. Does arthemetic progression always mean an addition. Can it not be any formulae. In that case,
Statement A - does not give much of an info on what type of arthemetic progression.
Statement B- also does not provide any information on how the other numbers wud be.
Hence E. Correct me, if my understading on the the arthemetic progression is wrong.
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Director
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arsen/lastochka,
Arithmetic Progression:
Numbers in sequence that have a common difference.
Eg: 2, 4, 6, 8...
1, -3, -7, -10....
In general, a, a+d, a+2d, a+3d....
Geometric Progression:
Numbers in sequence that have a common ratio.
Eg: 2, 4, 8, 16...
1, -3, 9, -27....
In general, a, ar, ar^2, ar^3....
Geometric Progression:
Numbers in sequence that have a common reciprocal ratio (not sure of the term is correct)
Eg: 1/2, 1/4, 1/6, 1/8...
In general, 1/a, 1/a+d, 1/a+2d, 1/a+3d...
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CIO
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hardworker_indian wrote: arsen/lastochka,
Arithmetic Progression: Numbers in sequence that have a common difference. Eg: 2, 4, 6, 8... 1, -3, -7, -10.... In general, a, a+d, a+2d, a+3d....
Geometric Progression: Numbers in sequence that have a common ratio. Eg: 2, 4, 8, 16... 1, -3, 9, -27.... In general, a, ar, ar^2, ar^3....
Geometric Progression: Numbers in sequence that have a common reciprocal ratio (not sure of the term is correct) Eg: 1/2, 1/4, 1/6, 1/8... In general, 1/a, 1/a+d, 1/a+2d, 1/a+3d...
that's exactly right. arithmetic progression always means common difference between the numbers in the set.
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